Calculate cube roots, check perfect cubes, and see how the result relates to the original number.
The cube root of 64 is 4 because 4 × 4 × 4 = 64. Negative numbers also have real cube roots, such as ∛(-125) = -5.
This is a perfect cube because 4³ equals 64.
- Find a number r where r³ = 64.
- Compute r = ∛64.
- r = 4.
- Check: 4 × 4 × 4 = 64.
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How to Use the Cube Root Calculator
Enter the number and choose how many decimal places to show. The calculator returns the real cube root and checks whether the input is a perfect cube.
- Enter the number under the cube root.
- Choose decimal places for non-perfect cubes.
- Read the root and cube check.
Cube Root Formula
The cube root is the number that must be multiplied by itself three times to get the original value.
Perfect Cubes
A perfect cube has an integer cube root. Common examples include 1, 8, 27, 64, 125, 216, 343, 512, 729, and 1000.
Cube Root Examples
∛64
4³ = 64, so ∛64 = 4.
∛(-125)
(-5)³ = -125, so ∛(-125) = -5.
∛2
2 is not a perfect cube. Its cube root is approximately 1.259921.
Common Cube Root Mistakes
Confusing square roots and cube roots
A square root uses two equal factors. A cube root uses three equal factors.
Forgetting negative cube roots
Negative numbers have real cube roots because a negative number multiplied by itself three times stays negative.
Rounding too early
For non-perfect cubes, keep extra decimals until the final answer if the result will be used in another calculation.
Cube Root Calculator FAQs
What is the cube root of 64?
The cube root of 64 is 4 because 4³ = 64.
Can a cube root be negative?
Yes. For example, ∛(-125) = -5.
What is a perfect cube?
A perfect cube is a number with an integer cube root.
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This educational math content is reviewed under the SolverCalc reviewer rule by Prof. Dr. Khalil Mudassar. WordPress adds the author bio automatically, so this page does not include a duplicate author box.
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